Perturbation method for nonlocal impulsive evolution equations

被引：40

作者：

Chen, Pengyu ^{[1
]}

Li, Yongxiang ^{[1
]}

Yang, He ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2013年 / 8卷

关键词：

Nonlocal impulsive evolution equation; Lower and upper solutions; Perturbation method; Monotone iterative technique; Mild and classical solutions; C-0-semigroup; MONOTONE ITERATIVE TECHNIQUE; SEMILINEAR DIFFERENTIAL-INCLUSIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; CONTROLLABILITY;

D O I：

10.1016/j.nahs.2012.08.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the existence of mild solutions for a class of semilinear nonlocal impulsive evolution equations in ordered Banach spaces. The existence and uniqueness theorem of mild solution for the associated linear nonlocal impulsive evolution equation is established. With the aid of the theorem, the existence of mild solutions for nonlinear nonlocal impulsive evolution equation is obtained by using perturbation method and monotone iterative technique. The theorems proved in this paper improve and extend some related results in ordinary differential equations and partial differential equations. Moreover, we present two examples to illustrate the feasibility of our abstract results. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：22 / 30

页数：9

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